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Finding the Fourth Proportional to 700,902.64, 966,940.44 and 428,982.64

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Solution

The fourth proportional to 700,902.64, 966,940.44 and 428,982.64 is: 591,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,902.64 : 966,940.44 = 428,982.64 : x
  2. Step 2: Convert to fraction form
    700,902.64/966,940.44 = 428,982.64/x
  3. Step 3: Cross multiply
    700,902.64x = 966,940.44 × 428,982.64
  4. Step 4: Simplify right side
    700,902.64x = 414,800,662,673.96
  5. Step 5: Solve for x
    x = 414,800,662,673.96/700,902.64
  6. Step 6: Final answer
    x = 591,809.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.